Title
On The Entropy Points And Shadowing In Uniform Spaces
Abstract
We introduce and study the topological concepts of entropy points, expansivity and shadowing property for dynamical systems on noncompact nonmetrizable spaces, which generalize the relevant concepts for metric spaces. We also obtain various properties on uniform entropy on noncompact nonmetrizable spaces. The main result is a theorem which yields a relation between topological shadowing property and positive uniform entropy.
Year
DOI
Venue
2018
10.1142/S0218127418501559
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Uniform space, topological entropy, uniform entropy, entropy point, shadowing property, chaos
Uniform space,Mathematical analysis,Pure mathematics,Topological entropy,Dynamical systems theory,Mathematics
Journal
Volume
Issue
ISSN
28
12
0218-1274
Citations 
PageRank 
References 
0
0.34
5
Authors
5
Name
Order
Citations
PageRank
Seyyed Alireza Ahmadi100.68
Xinxing Wu26818.44
Zonghong Feng300.68
Xin Ma4186.20
Tian-Xiu Lu594.03